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4835565 = 335721743
BaseRepresentation
bin10010011100100011101101
3100002200011000
4102130203231
52214214230
6251350513
756046600
oct22344355
910080130
104835565
112803039
121752439
131003ca7
148dc337
15657b60
hex49c8ed

4835565 has 96 divisors (see below), whose sum is σ = 10834560. Its totient is φ = 2032128.

The previous prime is 4835563. The next prime is 4835569. The reversal of 4835565 is 5655384.

4835565 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4835565 - 21 = 4835563 is a prime.

Its product of digits (72000) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112434 + ... + 112476.

It is an arithmetic number, because the mean of its divisors is an integer number (112860).

Almost surely, 24835565 is an apocalyptic number.

4835565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4835565 is an abundant number, since it is smaller than the sum of its proper divisors (5998995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4835565 is a wasteful number, since it uses less digits than its factorization.

4835565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 4835565 is about 2198.9918144459. The cubic root of 4835565 is about 169.1021289027.

Adding to 4835565 its sum of digits (36), we get a square (4835601 = 21992).

The spelling of 4835565 in words is "four million, eight hundred thirty-five thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 43 45 49 51 63 85 105 119 129 135 147 153 189 215 245 255 301 315 357 387 441 459 595 645 731 735 765 833 903 945 1071 1161 1323 1505 1785 1935 2107 2193 2205 2295 2499 2709 3213 3655 4165 4515 5117 5355 5805 6321 6579 6615 7497 8127 10535 10965 12495 13545 15351 16065 18963 19737 22491 25585 31605 32895 35819 37485 40635 46053 56889 76755 94815 98685 107457 112455 138159 179095 230265 284445 322371 537285 690795 967113 1611855 4835565